What is the Greatest Common Factor of 57465 and 57474?

Greatest common factor (GCF) of 57465 and 57474 is 9.

GCF(57465,57474) = 9

We will now calculate the prime factors of 57465 and 57474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57465 and 57474.

How to find the GCF of 57465 and 57474?

We will first find the prime factorization of 57465 and 57474. After we will calculate the factors of 57465 and 57474 and find the biggest common factor number .

Step-1: Prime Factorization of 57465

Prime factors of 57465 are 3, 5, 1277. Prime factorization of 57465 in exponential form is:

57465 = 3² × 5¹ × 1277¹

Step-2: Prime Factorization of 57474

Prime factors of 57474 are 2, 3, 31, 103. Prime factorization of 57474 in exponential form is:

57474 = 2¹ × 3² × 31¹ × 103¹

Step-3: Factors of 57465

List of positive integer factors of 57465 that divides 57465 without a remainder.

1, 3, 5, 9, 15, 45, 1277, 3831, 6385, 11493, 19155

Step-4: Factors of 57474

List of positive integer factors of 57474 that divides 57465 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 103, 186, 206, 279, 309, 558, 618, 927, 1854, 3193, 6386, 9579, 19158, 28737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57465 and 57474. The biggest common factor number is the GCF number.
So the greatest common factor 57465 and 57474 is 9.

Also check out the Least Common Multiple of 57465 and 57474